Question

Is 3.222222 a rational number

Answer 1

Answer:

YES

Step-by-step explanation:

If the number is rational, I can write it as a fraction in which the numerator and denominator are integers (denominator other than 0).

$3.\underbrace{222222}_{6}=\dfrac{3222222}{1\underbrace{000000}_6}-\bold{RATIONAL}$

If is repeating:

$x=3.2222....$       multiply both sides by 10

$10x=32.2222...$          make the difference 10x - x

$10x-x=32.2222...-3.2222...$

$9x=29$             divide both sides by 9

$x=\dfrac{29}{9}-\bold{RATIONAL}$